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In this lesson, we will learn how to find the images of points, lines, and shapes reflected in horizontal and vertical axes.

Q1:

Find the images of π΄ π΅ πΆ π· after reflection in the π¦ -axis.

Q2:

Farida and Nader are trying to find the coordinates of the image of after a reflection over the -axis. Faridaβs answer was , while Naderβs answer was . Which of them is correct?

Q3:

What is the image of the point ( β 8 , 1 0 ) reflected in the π¦ -axis?

Q4:

What is the image of the point ( 8 , 1 3 ) reflected in the π¦ -axis?

Q5:

A line segment with a length of 6 is reflected in the π¦ -axis. What is the length of its image?

Q6:

If a point with coordinates ( π₯ , π¦ ) is reflected in the π¦ -axis, determine the coordinates of the image.

Q7:

An angle with a size of is reflected in the -axis. What is the size of its image?

Q8:

A point is transformed by a reflection in the line π¦ = β π₯ . Which of the following functions represents this reflection?

Q9:

π΄ π΅ has a length of 3. It is reflected in the π₯ -axis to π΄ β² π΅ β² . What is the length of π΄ β² π΅ β² ?

Q10:

In the figure, π΄ π΅ has been reflected in the π¦ -axis. Is the length of the image resulting from this transformation greater than, less than, or the same as the length of π΄ π΅ ?

Q11:

Three points π΄ , π΅ , and πΆ with coordinates (1, 3), (1, 2), and (4, 1), respectively, are reflected in the π₯ -axis to the points π΄ ο , π΅ ο , and πΆ ο .

Determine the coordinates of π΄ β² , π΅ β² , and πΆ β² .

Is the measure of angle π΄ π΅ πΆ less than, greater than, or equal to the measure of angle π΄ β² π΅ β² πΆ β² ?

Q12:

Two parallel lines are reflected in the π¦ -axis. Are the resulting two lines parallel to each other, or do they intersect?

Q13:

If a point with coordinates ( π₯ , π¦ ) is reflected in the π₯ -axis, determine the coordinates of the image.

Q14:

What are the coordinates of the reflection of point πΆ ( β 2 , 6 ) across the π₯ -axis?

Q15:

What is the image of the point ( β 1 4 , 8 ) after a reflection in the π₯ -axis?

Q16:

What is the image of the point ( 1 2 , 1 5 ) after a reflection in the π₯ -axis?

Q17:

What is the image of the point ( β 1 5 , 3 ) after a reflection in the π₯ -axis?

Q18:

Two points π΄ and π΅ have coordinates (2, 4) and (4, 4) respectively. π΄ π΅ is reflected in the π¦ -axis to π΄ π΅ ο ο .

Determine the coordinates of π΄ β² and π΅ β² .

Is the length of π΄ π΅ greater than, less than, or equal to the length of π΄ β² π΅ β² ?

Q19:

Which pair of triangles represents a reflection in the π₯ -axis?

Q20:

What are the coordinates of the reflection of point πΌ ( 7 , 1 1 ) across both axes?

Q21:

Two intersecting lines are reflected in the π₯ -axis. Is it possible for the images of the two lines to be parallel?

Q22:

List the images of the labelled points under reflection in the π¦ -axis.

Q23:

List the images of the labelled points under reflection in the π₯ -axis.

Q24:

Determine the image points of the rhombus π΄ π΅ πΆ π· by reflection in the π₯ -axis.

Q25:

List the images of the points π΄ ( 5 , 4 ) , π΅ ( 8 , 6 ) , and πΆ ( 9 , β 8 ) , after reflection in the π¦ -axis.

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